Variance of sum of Gaussian random variables
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- Probability Theory, Statistics and Exploratory Data Analysis
- Week 4
- Variance of sum of Gaussian random variables
- Video: LectureIntroduction to the 4th week. Duration: 3 minutes3 min
- Video: LectureContinuous random variables. Motivation and Example. Duration: 10 minutes10 min
- Video: LectureProbability density function (PDF). Duration: 9 minutes9 min
- Video: LectureCumulative distribution function (CDF). Duration: 13 minutes13 min
- Video: LectureProperties of CDF. Duration: 6 minutes6 min
- Quiz: CDF of discrete random variable2 questions
- Video: LectureLinking PDF and CDF. Duration: 11 minutes11 min
- Video: LectureExamples of probability density functions. Duration: 10 minutes10 min
- Quiz: PDF and CDF skill test4 questions
- Video: LectureHistogram as approximation to a graph of PDF. Duration: 11 minutes11 min
- Video: LectureExpected value of continuous random variable. Duration: 9 minutes9 min
- Quiz: Finding expectation with PDF1 question
- Video: LectureVariance of continuous random variable. Properties of expected value and variance. Duration: 7 minutes7 min
- Quiz: Finding variance with PDF1 question
- Video: LectureTransformations of continuous random variables and their PDFs. Duration: 11 minutes11 min
- Quiz: Expectation of a function of random variable1 question
- Quiz: PDF skill test2 questions
- Video: LectureJoint CDF and PDF. Level charts. Marginal PDF. Duration: 10 minutes10 min
- Video: LectureIndependence, covariance and correlation of continuous random variables. Duration: 9 minutes9 min
- Quiz: Variance of sum of Gaussian random variables1 question
- Video: LectureMixed random variables. Example. Duration: 11 minutes11 min
- Quiz: Distinguishing random variables3 questions
- Video: LectureGenerating and visualizing continuous random variables with Python. Duration: 10 minutes10 min
- Video: LectureGenerating correlated random variables with Python. Duration: 11 minutes11 min